SOLUTION: two supplementary angles are in the ratio 7 to 2. find the number of degrees in the smaller angle.

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Question 437824: two supplementary angles are in the ratio 7 to 2. find the number of degrees in the smaller angle.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

two supplementary angles are in the ratio 7 to 2.

Let x and (180°-x)represent the smaller and larger of these supplementary angles.

  %287%2F2%29+=+%28%28180-x%29%2Fx%29+   |Cross Multiplying 

    7x = 2(180°-x)

     9x = 360°

      x = 40°, the smaller angle